Question

pick-m-up towing company charges 40$ to hook a car and 1.70 for each mile that it is towed. write an equation that represents the total cost y for x miles towed. find the y intercept, and interpret its meaning in the context of the situation

Answer 1

Using linear function concepts, it is found that:

• The equation for the cost of x miles towed is: $y = 1.7x + 40$.
• The y-intercept is $y = 40$, which means that the flat fee is $40.

A linear equation for a cost has the following format:

$y = mx + b$

In which:

• m is the slope, which is the rate of change.
• b is the y-intercept, which is the fixed cost, also called flat fee.

In this problem:

• The y-intercept is the cost to hook a car, which is $40, thus $b = 40$ and the flat flee is $40.
• Cost of $1.70 per mile towed, thus the slope is $m = 1.7$.

Then, the equation for the cost is given by:

$y = 1.7x + 40$

A similar problem is given at https://brainly.com/question/16302622